Finding the Third Proportional to 40,138 and 62,505

Step by Step Solution

1. Step 1: Write the proportion equation
   40,138 : 62,505 = 62,505 : x
2. Step 2: Convert to fraction form
   40,138/62,505 = 62,505/x
3. Step 3: Cross multiply
   40,138x = 62,505 × 62,505
4. Step 4: Simplify right side
   40,138x = 3,906,875,025
5. Step 5: Solve for x
   x = 3,906,875,025/40,138
6. Step 6: Final answer
   x = 97,336.07